BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov monopole

Details BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov monopole BRST invariance and de Rham-type cohomology of 't Hooft-Polyakov monopole

2009-07-09

arxiv.org/abs/0907.1580v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

We exploit the 't Hooft-Polyakov monopole to define closed algebra of the quantum field operators and the BRST charge $Q_{BRST}$. In the first-class configuration of the Dirac quantization, by including the $Q_{BRST}$-exact gauge fixing term and the Faddeev-Popov ghost term, we find the BRST invariant Hamiltonian to investigate the de Rham-type cohomology group structure for the monopole system. The Bogomol'nyi bound is also discussed in terms of the first-class topological charge defined on the extended internal 2-sphere.

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